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<div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*</span>
<a name="l00002"></a>00002 <span class="comment"> * Copyright (c) 2010-2011, NVIDIA Corporation</span>
<a name="l00003"></a>00003 <span class="comment"> * All rights reserved.</span>
<a name="l00004"></a>00004 <span class="comment"> *</span>
<a name="l00005"></a>00005 <span class="comment"> * Redistribution and use in source and binary forms, with or without</span>
<a name="l00006"></a>00006 <span class="comment"> * modification, are permitted provided that the following conditions are met:</span>
<a name="l00007"></a>00007 <span class="comment"> *   * Redistributions of source code must retain the above copyright</span>
<a name="l00008"></a>00008 <span class="comment"> *     notice, this list of conditions and the following disclaimer.</span>
<a name="l00009"></a>00009 <span class="comment"> *   * Redistributions in binary form must reproduce the above copyright</span>
<a name="l00010"></a>00010 <span class="comment"> *     notice, this list of conditions and the following disclaimer in the</span>
<a name="l00011"></a>00011 <span class="comment"> *     documentation and/or other materials provided with the distribution.</span>
<a name="l00012"></a>00012 <span class="comment"> *   * Neither the name of NVIDIA Corporation nor the</span>
<a name="l00013"></a>00013 <span class="comment"> *     names of its contributors may be used to endorse or promote products</span>
<a name="l00014"></a>00014 <span class="comment"> *     derived from this software without specific prior written permission.</span>
<a name="l00015"></a>00015 <span class="comment"> *</span>
<a name="l00016"></a>00016 <span class="comment"> * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS &quot;AS IS&quot; AND</span>
<a name="l00017"></a>00017 <span class="comment"> * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED</span>
<a name="l00018"></a>00018 <span class="comment"> * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE</span>
<a name="l00019"></a>00019 <span class="comment"> * DISCLAIMED. IN NO EVENT SHALL &lt;COPYRIGHT HOLDER&gt; BE LIABLE FOR ANY</span>
<a name="l00020"></a>00020 <span class="comment"> * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES</span>
<a name="l00021"></a>00021 <span class="comment"> * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;</span>
<a name="l00022"></a>00022 <span class="comment"> * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND</span>
<a name="l00023"></a>00023 <span class="comment"> * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT</span>
<a name="l00024"></a>00024 <span class="comment"> * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS</span>
<a name="l00025"></a>00025 <span class="comment"> * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.</span>
<a name="l00026"></a>00026 <span class="comment"> */</span>
<a name="l00027"></a>00027 
<a name="l00028"></a>00028 <span class="keyword">namespace </span>nih {
<a name="l00029"></a>00029 
<a name="l00030"></a>00030 <span class="comment">// rotate a zonal harmonics to an arbitrary direction vector</span>
<a name="l00031"></a>00031 <span class="comment">//</span>
<a name="l00032"></a>00032 <span class="comment">// \param L            number of bands</span>
<a name="l00033"></a>00033 <span class="comment">// \param zh_coeff     input Zonal Harmonics coefficients</span>
<a name="l00034"></a>00034 <span class="comment">// \param d            input vector</span>
<a name="l00035"></a>00035 <span class="comment">// \param sh_coeff     output Spherical Harmonics coefficients</span>
<a name="l00036"></a>00036 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> ZHVector, <span class="keyword">typename</span> SHVector, <span class="keyword">typename</span> Vector3&gt;
<a name="l00037"></a><a class="code" href="group__spherical.html#gac4367786c521d9b0e54b08dd27bcc391">00037</a> NIH_HOST_DEVICE <span class="keywordtype">void</span> <a class="code" href="group__spherical.html#gac4367786c521d9b0e54b08dd27bcc391">rotate_ZH</a>(<span class="keyword">const</span> int32 L, <span class="keyword">const</span> ZHVector&amp; zh_coeff, <span class="keyword">const</span> Vector3&amp; d, SHVector&amp; sh_coeff)
<a name="l00038"></a>00038 {
<a name="l00039"></a>00039     <span class="keywordflow">for</span> (int32 l = 0; l &lt; L; ++l)
<a name="l00040"></a>00040         <span class="keywordflow">for</span> (int32 m = -l; m &lt;= l; ++m)
<a name="l00041"></a>00041             sh_coeff[ l*l + m+l ] = sqrtf( 4.0f*M_PIf / <span class="keywordtype">float</span>(2*l + 1) ) * zh_coeff[l] * <a class="code" href="group__spherical.html#ga61b3dccbdbb3265ced8cfefc49c4f96c">sh</a>( l, m, d );
<a name="l00042"></a>00042 }
<a name="l00043"></a>00043 
<a name="l00044"></a>00044 <span class="comment">// return the (l,m) spherical harmonics coefficient of a zonal harmonics</span>
<a name="l00045"></a>00045 <span class="comment">// function rotated to match a given axis.</span>
<a name="l00046"></a>00046 <span class="comment">//</span>
<a name="l00047"></a>00047 <span class="comment">// \param zh_l         l-band zonal harmonics coefficient</span>
<a name="l00048"></a>00048 <span class="comment">// \param d            input vector</span>
<a name="l00049"></a>00049 <span class="keyword">template</span> &lt;<span class="keywordtype">int</span>32 l, <span class="keywordtype">int</span>32 m, <span class="keyword">typename</span> Vector3&gt;
<a name="l00050"></a><a class="code" href="group__spherical.html#ga0cea7b5e2aa00742a2e8d00af322edf3">00050</a> NIH_HOST_DEVICE <span class="keywordtype">float</span> <a class="code" href="group__spherical.html#gac4367786c521d9b0e54b08dd27bcc391">rotate_ZH</a>(<span class="keyword">const</span> <span class="keywordtype">float</span> zh_l, <span class="keyword">const</span> Vector3&amp; d)
<a name="l00051"></a>00051 {
<a name="l00052"></a>00052     <span class="keywordflow">return</span> sqrtf( 4.0f*M_PIf / <span class="keywordtype">float</span>(2*l + 1) ) * zh_l * <a class="code" href="group__spherical.html#ga61b3dccbdbb3265ced8cfefc49c4f96c">sh</a>( l, m, d );
<a name="l00053"></a>00053 }
<a name="l00054"></a>00054 
<a name="l00055"></a>00055 <span class="keyword">template</span> &lt;<span class="keywordtype">int</span>32 l&gt;
<a name="l00056"></a><a class="code" href="structnih_1_1_z_h__rotation.html">00056</a> <span class="keyword">struct </span><a class="code" href="structnih_1_1_z_h__rotation.html">ZH_rotation</a>
<a name="l00057"></a>00057 {
<a name="l00058"></a>00058     <span class="keyword">template</span> &lt;<span class="keywordtype">int</span>32 m&gt;
<a name="l00059"></a><a class="code" href="structnih_1_1_z_h__rotation_1_1_apply.html">00059</a>     <span class="keyword">struct </span><a class="code" href="structnih_1_1_z_h__rotation_1_1_apply.html">Apply</a>
<a name="l00060"></a>00060     {
<a name="l00061"></a>00061         <span class="keyword">template</span> &lt;<span class="keyword">typename</span> ZHVector, <span class="keyword">typename</span> SHVector, <span class="keyword">typename</span> Vector3&gt;
<a name="l00062"></a>00062         NIH_HOST_DEVICE <span class="keyword">static</span> <span class="keywordtype">void</span> eval(<span class="keyword">const</span> ZHVector&amp; zh_coeff, <span class="keyword">const</span> Vector3&amp; d, SHVector&amp; sh_coeff)
<a name="l00063"></a>00063         {
<a name="l00064"></a>00064             sh_coeff[ l*l + m+l ] = sqrtf( 4.0f*M_PIf / <span class="keywordtype">float</span>(2*l + 1) ) * zh_coeff[l] * sh&lt;l,m&gt;( d );
<a name="l00065"></a>00065             <a class="code" href="structnih_1_1_z_h__rotation_1_1_apply.html">Apply&lt;m+1&gt;::eval</a>( zh_coeff, d, sh_coeff );
<a name="l00066"></a>00066         }
<a name="l00067"></a>00067     };
<a name="l00068"></a>00068     <span class="keyword">template</span> &lt;&gt;
<a name="l00069"></a><a class="code" href="structnih_1_1_z_h__rotation_1_1_apply_3_01l_01_4.html">00069</a>     <span class="keyword">struct </span><a class="code" href="structnih_1_1_z_h__rotation_1_1_apply.html">Apply</a>&lt;l&gt;
<a name="l00070"></a>00070     {
<a name="l00071"></a>00071         <span class="keyword">template</span> &lt;<span class="keyword">typename</span> ZHVector, <span class="keyword">typename</span> SHVector, <span class="keyword">typename</span> Vector3&gt;
<a name="l00072"></a>00072         NIH_HOST_DEVICE <span class="keyword">static</span> <span class="keywordtype">void</span> eval(<span class="keyword">const</span> ZHVector&amp; zh_coeff, <span class="keyword">const</span> Vector3&amp; d, SHVector&amp; sh_coeff)
<a name="l00073"></a>00073         {
<a name="l00074"></a>00074             sh_coeff[ l*l + l+l ] = sqrtf( 4.0f*M_PIf / <span class="keywordtype">float</span>(2*l + 1) ) * zh_coeff[l] * sh&lt;l,l&gt;( d );
<a name="l00075"></a>00075         }
<a name="l00076"></a>00076     };
<a name="l00077"></a>00077 
<a name="l00078"></a>00078     <span class="keyword">template</span> &lt;<span class="keyword">typename</span> ZHVector, <span class="keyword">typename</span> SHVector, <span class="keyword">typename</span> Vector3&gt;
<a name="l00079"></a>00079     NIH_HOST_DEVICE <span class="keyword">static</span> <span class="keywordtype">void</span> eval(<span class="keyword">const</span> ZHVector&amp; zh_coeff, <span class="keyword">const</span> Vector3&amp; d, SHVector&amp; sh_coeff)
<a name="l00080"></a>00080     {
<a name="l00081"></a>00081         <a class="code" href="structnih_1_1_z_h__rotation_1_1_apply.html">Apply&lt;-l&gt;::eval</a>( zh_coeff, d, sh_coeff );
<a name="l00082"></a>00082         <span class="keywordflow">if</span> (l &gt; 0)
<a name="l00083"></a>00083             <a class="code" href="structnih_1_1_z_h__rotation.html">ZH_rotation&lt;l-1&gt;::eval</a>( zh_coeff, d, sh_coeff );
<a name="l00084"></a>00084     }
<a name="l00085"></a>00085 };
<a name="l00086"></a>00086 <span class="keyword">template</span> &lt;&gt;
<a name="l00087"></a><a class="code" href="structnih_1_1_z_h__rotation_3_010_01_4.html">00087</a> <span class="keyword">struct </span><a class="code" href="structnih_1_1_z_h__rotation.html">ZH_rotation</a>&lt;0&gt;
<a name="l00088"></a>00088 {
<a name="l00089"></a>00089     <span class="keyword">template</span> &lt;<span class="keyword">typename</span> ZHVector, <span class="keyword">typename</span> SHVector, <span class="keyword">typename</span> Vector3&gt;
<a name="l00090"></a>00090     NIH_HOST_DEVICE <span class="keyword">static</span> <span class="keywordtype">void</span> eval(<span class="keyword">const</span> ZHVector&amp; zh_coeff, <span class="keyword">const</span> Vector3&amp; d, SHVector&amp; sh_coeff)
<a name="l00091"></a>00091     {
<a name="l00092"></a>00092         sh_coeff[0] = sqrtf( 4.0f*M_PIf ) * zh_coeff[0] * sh&lt;0,0&gt;( d );
<a name="l00093"></a>00093     }
<a name="l00094"></a>00094 };
<a name="l00095"></a>00095 
<a name="l00096"></a>00096 <span class="comment">// rotate a zonal harmonics to an arbitrary direction vector, with</span>
<a name="l00097"></a>00097 <span class="comment">// the number of bands specified at compile-time.</span>
<a name="l00098"></a>00098 <span class="comment">//</span>
<a name="l00099"></a>00099 <span class="comment">// \param zh_coeff     input Zonal Harmonics coefficients</span>
<a name="l00100"></a>00100 <span class="comment">// \param d            input vector</span>
<a name="l00101"></a>00101 <span class="comment">// \param sh_coeff     output Spherical Harmonics coefficients</span>
<a name="l00102"></a>00102 <span class="keyword">template</span> &lt;<span class="keywordtype">int</span>32 L, <span class="keyword">typename</span> ZHVector, <span class="keyword">typename</span> SHVector, <span class="keyword">typename</span> Vector3&gt;
<a name="l00103"></a><a class="code" href="group__spherical.html#gad3026df527a2ed22cead3594bdd25b19">00103</a> NIH_HOST_DEVICE <span class="keywordtype">void</span> <a class="code" href="group__spherical.html#gac4367786c521d9b0e54b08dd27bcc391">rotate_ZH</a>(<span class="keyword">const</span> ZHVector&amp; zh_coeff, <span class="keyword">const</span> Vector3&amp; d, SHVector&amp; sh_coeff)
<a name="l00104"></a>00104 {
<a name="l00105"></a>00105     <a class="code" href="structnih_1_1_z_h__rotation.html">ZH_rotation&lt;L-1&gt;::eval</a>( zh_coeff, d, sh_coeff );
<a name="l00106"></a>00106 }
<a name="l00107"></a>00107 
<a name="l00108"></a>00108 <span class="comment">// evaluate the (l,m)-th basis function on a given vector</span>
<a name="l00109"></a>00109 <span class="comment">//</span>
<a name="l00110"></a>00110 <span class="comment">// \param l    band index</span>
<a name="l00111"></a>00111 <span class="comment">// \param m    subband index</span>
<a name="l00112"></a>00112 <span class="comment">// \param v    input vector</span>
<a name="l00113"></a>00113 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Vector3&gt;
<a name="l00114"></a><a class="code" href="group__spherical.html#ga61b3dccbdbb3265ced8cfefc49c4f96c">00114</a> NIH_HOST_DEVICE <span class="keywordtype">float</span> <a class="code" href="group__spherical.html#ga61b3dccbdbb3265ced8cfefc49c4f96c">sh</a>(<span class="keyword">const</span> int32 l, <span class="keyword">const</span> int32 m, <span class="keyword">const</span> Vector3&amp; v)
<a name="l00115"></a>00115 {
<a name="l00116"></a>00116 <span class="preprocessor">#if 0</span>
<a name="l00117"></a>00117 <span class="preprocessor"></span>    <span class="keywordflow">if</span> (l == 0)
<a name="l00118"></a>00118         <span class="keywordflow">return</span> 0.282095f;
<a name="l00119"></a>00119     <span class="keywordflow">else</span> <span class="keywordflow">if</span> (l == 1)
<a name="l00120"></a>00120         <span class="keywordflow">return</span> 0.488603f * (m == -1 ? v[0] : (m == 0 ? v[2] : v[1]));
<a name="l00121"></a>00121     <span class="keywordflow">else</span> <span class="keywordflow">if</span> (l == 2)
<a name="l00122"></a>00122     {
<a name="l00123"></a>00123         <span class="keywordflow">if</span> (m == 0)
<a name="l00124"></a>00124             <span class="keywordflow">return</span> 0.315392f * (3*v[2]*v[2] - 1.0f);
<a name="l00125"></a>00125         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 2)
<a name="l00126"></a>00126             <span class="keywordflow">return</span> 0.546274f * (v[0]*v[0] - v[1]*v[1]);
<a name="l00127"></a>00127         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -2)
<a name="l00128"></a>00128             <span class="keywordflow">return</span> 1.092548f * v[0]*v[2];
<a name="l00129"></a>00129         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -1)
<a name="l00130"></a>00130             <span class="keywordflow">return</span> 1.092548f * v[1]*v[2];
<a name="l00131"></a>00131         <span class="keywordflow">else</span>
<a name="l00132"></a>00132             <span class="keywordflow">return</span> 1.092548f * v[0]*v[1];
<a name="l00133"></a>00133     }
<a name="l00134"></a>00134 <span class="preprocessor">#else</span>
<a name="l00135"></a>00135 <span class="preprocessor"></span>    <span class="keyword">const</span> <span class="keywordtype">float</span> X = v[0];
<a name="l00136"></a>00136     <span class="keyword">const</span> <span class="keywordtype">float</span> Y = v[1];
<a name="l00137"></a>00137     <span class="keyword">const</span> <span class="keywordtype">float</span> Z = v[2];
<a name="l00138"></a>00138 
<a name="l00139"></a>00139     <span class="keyword">const</span> <span class="keywordtype">float</span> m_15_over_4sqrtPI           = 0.54627419f; <span class="comment">//sqrtf(15.0f)/(4.0f*sqrtf(M_PIf));</span>
<a name="l00140"></a>00140     <span class="keyword">const</span> <span class="keywordtype">float</span> m_15_over_2sqrtPI           = 1.09254837f; <span class="comment">//sqrtf(15.0f)/(2.0f*sqrtf(M_PIf));</span>
<a name="l00141"></a>00141     <span class="keyword">const</span> <span class="keywordtype">float</span> m_5_over_4sqrtPI            = 0.31539154f; <span class="comment">//sqrtf(5.0f)/(4.0f*sqrtf(M_PIf));</span>
<a name="l00142"></a>00142     <span class="keyword">const</span> <span class="keywordtype">float</span> m_sqrt2sqrt35_over_8sqrtPI  = 0.59004354f; <span class="comment">//sqrtf(2.0f*35.0f)/(8.0f*sqrtf(M_PIf));</span>
<a name="l00143"></a>00143     <span class="comment">//const float m_sqrt2sqrt35_over_4sqrtPI  = 1.18008709f; //sqrtf(2.0f*35.0f)/(4.0f*sqrtf(M_PIf));</span>
<a name="l00144"></a>00144     <span class="keyword">const</span> <span class="keywordtype">float</span> m_sqrt7_over_4sqrtPI        = 0.37317631f; <span class="comment">//sqrtf(7.0f)/(4.0f*sqrtf(M_PIf));</span>
<a name="l00145"></a>00145     <span class="keyword">const</span> <span class="keywordtype">float</span> m_sqrt2sqrt21_over_8sqrtPI  = 0.45704576f; <span class="comment">//sqrtf(2.0f*21.0f)/(8.0f*sqrtf(M_PIf));</span>
<a name="l00146"></a>00146     <span class="keyword">const</span> <span class="keywordtype">float</span> m_sqrt105_over_4sqrtPI      = 1.44530571f; <span class="comment">//sqrtf(105.0f)/(4.0f*sqrtf(M_PIf));</span>
<a name="l00147"></a>00147     <span class="keyword">const</span> <span class="keywordtype">float</span> m_sqrt105_over_2sqrtPI      = 2.89061141f; <span class="comment">//sqrtf(105.0f)/(2.0f*sqrtf(M_PIf));</span>
<a name="l00148"></a>00148 
<a name="l00149"></a>00149     <span class="keywordflow">if</span> (l == 0)
<a name="l00150"></a>00150         <span class="keywordflow">return</span> 0.282095f;
<a name="l00151"></a>00151     <span class="keywordflow">else</span> <span class="keywordflow">if</span> (l == 1)
<a name="l00152"></a>00152         <span class="keywordflow">return</span> 0.488603f * (m == -1 ? -Y : (m == 0 ? Z : -X));
<a name="l00153"></a>00153     <span class="keywordflow">else</span> <span class="keywordflow">if</span> (l == 2)
<a name="l00154"></a>00154     {
<a name="l00155"></a>00155         <span class="keywordflow">if</span> (m == 0)
<a name="l00156"></a>00156             <span class="keywordflow">return</span> m_5_over_4sqrtPI * (3*Z*Z - 1.0f);
<a name="l00157"></a>00157         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 1)
<a name="l00158"></a>00158             <span class="keywordflow">return</span> -m_15_over_2sqrtPI * X*Z;
<a name="l00159"></a>00159         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 2)
<a name="l00160"></a>00160             <span class="keywordflow">return</span> m_15_over_4sqrtPI * (X*X - Y*Y);
<a name="l00161"></a>00161         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -1)
<a name="l00162"></a>00162             <span class="keywordflow">return</span> -m_15_over_2sqrtPI * Y*Z;
<a name="l00163"></a>00163         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -2)
<a name="l00164"></a>00164             <span class="keywordflow">return</span> m_15_over_2sqrtPI * X*Y;
<a name="l00165"></a>00165     }
<a name="l00166"></a>00166     <span class="keywordflow">else</span> <span class="keywordflow">if</span> (l == 3)
<a name="l00167"></a>00167     {
<a name="l00168"></a>00168         <span class="keywordflow">if</span> (m == 0)
<a name="l00169"></a>00169             <span class="keywordflow">return</span> m_sqrt7_over_4sqrtPI * Z * (5*Z*Z - 3);
<a name="l00170"></a>00170         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 1)
<a name="l00171"></a>00171             <span class="keywordflow">return</span> -m_sqrt2sqrt21_over_8sqrtPI * X * (5*Z*Z - 1);
<a name="l00172"></a>00172         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 2)
<a name="l00173"></a>00173             <span class="keywordflow">return</span> m_sqrt105_over_4sqrtPI * (X*X - Y*Y) * Z;
<a name="l00174"></a>00174         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 3)
<a name="l00175"></a>00175             <span class="keywordflow">return</span> -m_sqrt2sqrt35_over_8sqrtPI * (X*X - 3*Y*Y)*X;
<a name="l00176"></a>00176         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -1)
<a name="l00177"></a>00177             <span class="keywordflow">return</span> -m_sqrt2sqrt21_over_8sqrtPI * Y * (5*Z*Z - 1);
<a name="l00178"></a>00178         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -2)
<a name="l00179"></a>00179             <span class="keywordflow">return</span> m_sqrt105_over_2sqrtPI * X*Y*Z;
<a name="l00180"></a>00180         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -3)
<a name="l00181"></a>00181             <span class="keywordflow">return</span> -m_sqrt2sqrt35_over_8sqrtPI * (3*X*X - Y*Y)*Y;
<a name="l00182"></a>00182     }
<a name="l00183"></a>00183 <span class="preprocessor">#endif</span>
<a name="l00184"></a>00184 <span class="preprocessor"></span>    <span class="keywordflow">return</span> 0.0f;
<a name="l00185"></a>00185 }
<a name="l00186"></a>00186 <span class="comment">// evaluate the (l,m)-th basis function on a given vector, where</span>
<a name="l00187"></a>00187 <span class="comment">// l and m are determined at compile-time.</span>
<a name="l00188"></a>00188 <span class="comment">//</span>
<a name="l00189"></a>00189 <span class="comment">// \param v    input vector</span>
<a name="l00190"></a>00190 <span class="keyword">template</span> &lt;<span class="keywordtype">int</span>32 l, <span class="keywordtype">int</span>32 m, <span class="keyword">typename</span> Vector3&gt;
<a name="l00191"></a><a class="code" href="group__spherical.html#ga093407ba5202540f5ca6cc3da2567970">00191</a> NIH_HOST_DEVICE <span class="keywordtype">float</span> <a class="code" href="group__spherical.html#ga61b3dccbdbb3265ced8cfefc49c4f96c">sh</a>(<span class="keyword">const</span> Vector3&amp; v)
<a name="l00192"></a>00192 {
<a name="l00193"></a>00193     <span class="keyword">const</span> <span class="keywordtype">float</span> X = v[0];
<a name="l00194"></a>00194     <span class="keyword">const</span> <span class="keywordtype">float</span> Y = v[1];
<a name="l00195"></a>00195     <span class="keyword">const</span> <span class="keywordtype">float</span> Z = v[2];
<a name="l00196"></a>00196 
<a name="l00197"></a>00197     <span class="keyword">const</span> <span class="keywordtype">float</span> m_15_over_4sqrtPI           = 0.54627419f; <span class="comment">//sqrtf(15.0f)/(4.0f*sqrtf(M_PIf));</span>
<a name="l00198"></a>00198     <span class="keyword">const</span> <span class="keywordtype">float</span> m_15_over_2sqrtPI           = 1.09254837f; <span class="comment">//sqrtf(15.0f)/(2.0f*sqrtf(M_PIf));</span>
<a name="l00199"></a>00199     <span class="keyword">const</span> <span class="keywordtype">float</span> m_5_over_4sqrtPI            = 0.31539154f; <span class="comment">//sqrtf(5.0f)/(4.0f*sqrtf(M_PIf));</span>
<a name="l00200"></a>00200     <span class="keyword">const</span> <span class="keywordtype">float</span> m_sqrt2sqrt35_over_8sqrtPI  = 0.59004354f; <span class="comment">//sqrtf(2.0f*35.0f)/(8.0f*sqrtf(M_PIf));</span>
<a name="l00201"></a>00201     <span class="comment">//const float m_sqrt2sqrt35_over_4sqrtPI  = 1.18008709f; //sqrtf(2.0f*35.0f)/(4.0f*sqrtf(M_PIf));</span>
<a name="l00202"></a>00202     <span class="keyword">const</span> <span class="keywordtype">float</span> m_sqrt7_over_4sqrtPI        = 0.37317631f; <span class="comment">//sqrtf(7.0f)/(4.0f*sqrtf(M_PIf));</span>
<a name="l00203"></a>00203     <span class="keyword">const</span> <span class="keywordtype">float</span> m_sqrt2sqrt21_over_8sqrtPI  = 0.45704576f; <span class="comment">//sqrtf(2.0f*21.0f)/(8.0f*sqrtf(M_PIf));</span>
<a name="l00204"></a>00204     <span class="keyword">const</span> <span class="keywordtype">float</span> m_sqrt105_over_4sqrtPI      = 1.44530571f; <span class="comment">//sqrtf(105.0f)/(4.0f*sqrtf(M_PIf));</span>
<a name="l00205"></a>00205     <span class="keyword">const</span> <span class="keywordtype">float</span> m_sqrt105_over_2sqrtPI      = 2.89061141f; <span class="comment">//sqrtf(105.0f)/(2.0f*sqrtf(M_PIf));</span>
<a name="l00206"></a>00206 
<a name="l00207"></a>00207     <span class="keywordflow">if</span> (l == 0)
<a name="l00208"></a>00208         <span class="keywordflow">return</span> 0.282095f;
<a name="l00209"></a>00209     <span class="keywordflow">else</span> <span class="keywordflow">if</span> (l == 1)
<a name="l00210"></a>00210         <span class="keywordflow">return</span> 0.488603f * (m == -1 ? -Y : (m == 0 ? Z : -X));
<a name="l00211"></a>00211     <span class="keywordflow">else</span> <span class="keywordflow">if</span> (l == 2)
<a name="l00212"></a>00212     {
<a name="l00213"></a>00213         <span class="keywordflow">if</span> (m == 0)
<a name="l00214"></a>00214             <span class="keywordflow">return</span> m_5_over_4sqrtPI * (3*Z*Z - 1.0f);
<a name="l00215"></a>00215         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 1)
<a name="l00216"></a>00216             <span class="keywordflow">return</span> -m_15_over_2sqrtPI * X*Z;
<a name="l00217"></a>00217         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 2)
<a name="l00218"></a>00218             <span class="keywordflow">return</span> m_15_over_4sqrtPI * (X*X - Y*Y);
<a name="l00219"></a>00219         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -1)
<a name="l00220"></a>00220             <span class="keywordflow">return</span> -m_15_over_2sqrtPI * Y*Z;
<a name="l00221"></a>00221         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -2)
<a name="l00222"></a>00222             <span class="keywordflow">return</span> m_15_over_2sqrtPI * X*Y;
<a name="l00223"></a>00223     }
<a name="l00224"></a>00224     <span class="keywordflow">else</span> <span class="keywordflow">if</span> (l == 3)
<a name="l00225"></a>00225     {
<a name="l00226"></a>00226         <span class="keywordflow">if</span> (m == 0)
<a name="l00227"></a>00227             <span class="keywordflow">return</span> m_sqrt7_over_4sqrtPI * Z * (5*Z*Z - 3);
<a name="l00228"></a>00228         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 1)
<a name="l00229"></a>00229             <span class="keywordflow">return</span> -m_sqrt2sqrt21_over_8sqrtPI * X * (5*Z*Z - 1);
<a name="l00230"></a>00230         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 2)
<a name="l00231"></a>00231             <span class="keywordflow">return</span> m_sqrt105_over_4sqrtPI * (X*X - Y*Y) * Z;
<a name="l00232"></a>00232         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 3)
<a name="l00233"></a>00233             <span class="keywordflow">return</span> -m_sqrt2sqrt35_over_8sqrtPI * (X*X - 3*Y*Y)*X;
<a name="l00234"></a>00234         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -1)
<a name="l00235"></a>00235             <span class="keywordflow">return</span> -m_sqrt2sqrt21_over_8sqrtPI * Y * (5*Z*Z - 1);
<a name="l00236"></a>00236         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -2)
<a name="l00237"></a>00237             <span class="keywordflow">return</span> m_sqrt105_over_2sqrtPI * X*Y*Z;
<a name="l00238"></a>00238         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -3)
<a name="l00239"></a>00239             <span class="keywordflow">return</span> -m_sqrt2sqrt35_over_8sqrtPI * (3*X*X - Y*Y)*Y;
<a name="l00240"></a>00240     }
<a name="l00241"></a>00241     <span class="keywordflow">return</span> 0.0f;
<a name="l00242"></a>00242 }
<a name="l00243"></a>00243 
<a name="l00244"></a>00244 <span class="comment">// evaluate the (l,m)-th basis function on a given vector, where</span>
<a name="l00245"></a>00245 <span class="comment">// l is determined at compile-time.</span>
<a name="l00246"></a>00246 <span class="comment">//</span>
<a name="l00247"></a>00247 <span class="comment">// \param m    subband index</span>
<a name="l00248"></a>00248 <span class="comment">// \param v    input vector</span>
<a name="l00249"></a>00249 <span class="keyword">template</span> &lt;<span class="keywordtype">int</span>32 l, <span class="keyword">typename</span> Vector3&gt;
<a name="l00250"></a><a class="code" href="group__spherical.html#ga84c13afac74205bed1f5f3a382088394">00250</a> NIH_HOST_DEVICE <span class="keywordtype">float</span> <a class="code" href="group__spherical.html#ga61b3dccbdbb3265ced8cfefc49c4f96c">sh</a>(<span class="keyword">const</span> int32 m, <span class="keyword">const</span> Vector3&amp; v)
<a name="l00251"></a>00251 {
<a name="l00252"></a>00252     <span class="keywordflow">if</span> (l == 0)
<a name="l00253"></a>00253         <span class="keywordflow">return</span> sh&lt;0,0&gt;( v );
<a name="l00254"></a>00254     <span class="keywordflow">else</span> <span class="keywordflow">if</span> (l == 1)
<a name="l00255"></a>00255     {
<a name="l00256"></a>00256         <span class="keywordflow">if</span> (m == -1)
<a name="l00257"></a>00257             <span class="keywordflow">return</span> <a class="code" href="group__spherical.html#ga61b3dccbdbb3265ced8cfefc49c4f96c">sh</a>&lt;1,-1&gt;( v );
<a name="l00258"></a>00258         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 0)
<a name="l00259"></a>00259             <span class="keywordflow">return</span> sh&lt;1,0&gt;( v );
<a name="l00260"></a>00260         <span class="keywordflow">else</span>
<a name="l00261"></a>00261             <span class="keywordflow">return</span> sh&lt;1,1&gt;( v );
<a name="l00262"></a>00262     }
<a name="l00263"></a>00263     <span class="keywordflow">else</span> <span class="keywordflow">if</span> (l == 2)
<a name="l00264"></a>00264     {
<a name="l00265"></a>00265         <span class="keywordflow">if</span> (m == 0)
<a name="l00266"></a>00266             <span class="keywordflow">return</span> sh&lt;2,0&gt;( v );
<a name="l00267"></a>00267         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 1)
<a name="l00268"></a>00268             <span class="keywordflow">return</span> sh&lt;2,1&gt;( v );
<a name="l00269"></a>00269         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 2)
<a name="l00270"></a>00270             <span class="keywordflow">return</span> sh&lt;2,2&gt;( v );
<a name="l00271"></a>00271         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -1)
<a name="l00272"></a>00272             <span class="keywordflow">return</span> <a class="code" href="group__spherical.html#ga61b3dccbdbb3265ced8cfefc49c4f96c">sh</a>&lt;2,-1&gt;( v );
<a name="l00273"></a>00273         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -2)
<a name="l00274"></a>00274             <span class="keywordflow">return</span> <a class="code" href="group__spherical.html#ga61b3dccbdbb3265ced8cfefc49c4f96c">sh</a>&lt;2,-2&gt;( v );
<a name="l00275"></a>00275     }
<a name="l00276"></a>00276     <span class="keywordflow">else</span> <span class="keywordflow">if</span> (l == 3)
<a name="l00277"></a>00277     {
<a name="l00278"></a>00278         <span class="keywordflow">if</span> (m == 0)
<a name="l00279"></a>00279             <span class="keywordflow">return</span> sh&lt;3,0&gt;( v );
<a name="l00280"></a>00280         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 1)
<a name="l00281"></a>00281             <span class="keywordflow">return</span> sh&lt;3,1&gt;( v );
<a name="l00282"></a>00282         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 2)
<a name="l00283"></a>00283             <span class="keywordflow">return</span> sh&lt;3,2&gt;( v );
<a name="l00284"></a>00284         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == 3)
<a name="l00285"></a>00285             <span class="keywordflow">return</span> sh&lt;3,3&gt;( v );
<a name="l00286"></a>00286         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -1)
<a name="l00287"></a>00287             <span class="keywordflow">return</span> <a class="code" href="group__spherical.html#ga61b3dccbdbb3265ced8cfefc49c4f96c">sh</a>&lt;3,-1&gt;( v );
<a name="l00288"></a>00288         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -2)
<a name="l00289"></a>00289             <span class="keywordflow">return</span> <a class="code" href="group__spherical.html#ga61b3dccbdbb3265ced8cfefc49c4f96c">sh</a>&lt;3,-2&gt;( v );
<a name="l00290"></a>00290         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (m == -3)
<a name="l00291"></a>00291             <span class="keywordflow">return</span> <a class="code" href="group__spherical.html#ga61b3dccbdbb3265ced8cfefc49c4f96c">sh</a>&lt;3,-3&gt;( v );
<a name="l00292"></a>00292     }
<a name="l00293"></a>00293     <span class="keywordflow">return</span> 0.0f;
<a name="l00294"></a>00294 }
<a name="l00295"></a>00295 
<a name="l00296"></a>00296 <span class="comment">// evaluate the i-th coefficient at a given point</span>
<a name="l00297"></a>00297 <span class="comment">//</span>
<a name="l00298"></a>00298 <span class="comment">// \param i    coefficient index</span>
<a name="l00299"></a>00299 <span class="comment">// \param d    direction vector</span>
<a name="l00300"></a>00300 <span class="keyword">template</span> &lt;<span class="keywordtype">int</span>32 L&gt;
<a name="l00301"></a>00301 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Vector3&gt;
<a name="l00302"></a><a class="code" href="structnih_1_1_s_h__basis.html#a015b1ccbbb8b30cea48b6086e6888958">00302</a> NIH_HOST_DEVICE <span class="keywordtype">float</span> <a class="code" href="structnih_1_1_s_h__basis.html#a015b1ccbbb8b30cea48b6086e6888958">SH_basis&lt;L&gt;::eval</a>(<span class="keyword">const</span> int32 i, <span class="keyword">const</span> Vector3&amp; d)
<a name="l00303"></a>00303 {
<a name="l00304"></a>00304     <span class="keywordflow">if</span> (i == 0)
<a name="l00305"></a>00305         <span class="keywordflow">return</span> sh&lt;0&gt;( 0, d );
<a name="l00306"></a>00306     <span class="keywordflow">else</span> <span class="keywordflow">if</span> (i &lt; 4)
<a name="l00307"></a>00307         <span class="keywordflow">return</span> sh&lt;1&gt;( i - 2, d );
<a name="l00308"></a>00308     <span class="keywordflow">else</span> <span class="keywordflow">if</span> (i &lt; 9)
<a name="l00309"></a>00309         <span class="keywordflow">return</span> sh&lt;2&gt;( i - 6, d );
<a name="l00310"></a>00310     <span class="keywordflow">else</span>
<a name="l00311"></a>00311         <span class="keywordflow">return</span> sh&lt;3&gt;( i - 12, d );
<a name="l00312"></a>00312 }
<a name="l00313"></a>00313 
<a name="l00314"></a>00314 <span class="comment">// add a weighted basis expansion of a clamped cosine lobe to a given</span>
<a name="l00315"></a>00315 <span class="comment">// set of coefficients</span>
<a name="l00316"></a>00316 <span class="comment">//</span>
<a name="l00317"></a>00317 <span class="comment">// \param normal   input normal</span>
<a name="l00318"></a>00318 <span class="comment">// \param w        scalar weight</span>
<a name="l00319"></a>00319 <span class="comment">// \param coeffs   input/output coefficients</span>
<a name="l00320"></a>00320 <span class="keyword">template</span> &lt;<span class="keywordtype">int</span>32 L&gt;
<a name="l00321"></a><a class="code" href="structnih_1_1_s_h__basis.html#a2d59e8f416f38c7aff714f45464ceb51">00321</a> NIH_HOST_DEVICE <span class="keywordtype">void</span> <a class="code" href="structnih_1_1_s_h__basis.html#a2d59e8f416f38c7aff714f45464ceb51">SH_basis&lt;L&gt;::clamped_cosine</a>(<span class="keyword">const</span> <a class="code" href="structnih_1_1_vector.html">Vector3f</a>&amp; normal, <span class="keyword">const</span> <span class="keywordtype">float</span> w, <span class="keywordtype">float</span>* coeffs)
<a name="l00322"></a>00322 {
<a name="l00323"></a>00323     <span class="keyword">const</span> <span class="keywordtype">float</span> zh[4] = {
<a name="l00324"></a>00324         0.886214f,
<a name="l00325"></a>00325         1.023202f,
<a name="l00326"></a>00326         0.495443f,
<a name="l00327"></a>00327         0.013224f };
<a name="l00328"></a>00328 
<a name="l00329"></a>00329     <span class="keywordtype">float</span> <a class="code" href="group__spherical.html#ga61b3dccbdbb3265ced8cfefc49c4f96c">sh</a>[COEFFS];
<a name="l00330"></a>00330     rotate_ZH&lt;L&gt;( zh, normal, <a class="code" href="group__spherical.html#ga61b3dccbdbb3265ced8cfefc49c4f96c">sh</a> );
<a name="l00331"></a>00331 
<a name="l00332"></a>00332     <span class="keywordflow">for</span> (uint32 i = 0; i &lt; COEFFS; ++i)
<a name="l00333"></a>00333         coeffs[i] += sh[i] * w;
<a name="l00334"></a>00334 }
<a name="l00335"></a>00335 
<a name="l00336"></a>00336 <span class="comment">// return the basis expansion of a constant</span>
<a name="l00337"></a>00337 <span class="comment">//</span>
<a name="l00338"></a>00338 <span class="comment">// \param k        input constant</span>
<a name="l00339"></a>00339 <span class="comment">// \param coeffs   output coefficients</span>
<a name="l00340"></a>00340 <span class="keyword">template</span> &lt;<span class="keywordtype">int</span>32 L&gt;
<a name="l00341"></a><a class="code" href="structnih_1_1_s_h__basis.html#a26b7088e841914d02b4ad3f8882c0f99">00341</a> NIH_HOST_DEVICE <span class="keywordtype">void</span> <a class="code" href="structnih_1_1_s_h__basis.html#a26b7088e841914d02b4ad3f8882c0f99">SH_basis&lt;L&gt;::constant</a>(<span class="keywordtype">float</span> k, <span class="keywordtype">float</span>* coeffs)
<a name="l00342"></a>00342 {
<a name="l00343"></a>00343     coeffs[0] = k * 2.0f*sqrtf(M_PIf);
<a name="l00344"></a>00344     <span class="keywordflow">for</span> (int32 i = 1; i &lt; COEFFS; ++i)
<a name="l00345"></a>00345         coeffs[i] = 0.0f;
<a name="l00346"></a>00346 }
<a name="l00347"></a>00347 
<a name="l00348"></a>00348 } <span class="comment">// namespace nih</span>
<a name="l00349"></a>00349 
</pre></div></div>
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